Question

Solve the proportional
equation below:
x/4 = x-6/3

Answer 1

PROPORTIONAL EQUATION

Exercise

Apply the means-extremes property of proportions: this allows you to cross multiply:

`\boxed{\mathsf{(x)/(4) = (x - 6)/(3)}}`

`\mathsf{(x)/(4) \searrow (x - 6)/(3)}` ‏‏‎ ‏‏‎‎
`\mathsf{(x)/(4) \\earrow (x-6)/(3)}`‏‏‎‎

`\boxed{\mathsf{3x = 4(x - 6)}}`

Apply the distributive property:

`\mathsf{3x = 4(x-6)}`

`\mathsf{3x = 4(x) - 4(6)}`

`\mathsf{3x = 4x - 24}`

Add 24 to both sides:

`\mathsf{3x + 24 = 4x - 24 + 24}`

`\mathsf{3x + 24 = 4x}`

Substract 3x to both sides

`\mathsf{3x - 3x + 24 = 4x - 3x}`

`\mathsf{24 = 4x - 3x}`

`\large{\boxed{\mathsf{24 = x}}}`

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Answer. The value of x = 24.

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